75554755745561 has 2 divisors, whose sum is σ = 75554755745562. Its totient is φ = 75554755745560.

The previous prime is 75554755745537. The next prime is 75554755745563. The reversal of 75554755745561 is 16554755745557.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50046003462400 + 25508752283161 = 7074320^2 + 5050619^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-75554755745561 is a prime.

It is a super-2 number, since 2×75554755745561² (a number of 29 digits) contains 22 as substring.

Together with 75554755745563, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (75554755745563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37777377872780 + 37777377872781.

It is an arithmetic number, because the mean of its divisors is an integer number (37777377872781).

Almost surely, 2^{75554755745561} is an apocalyptic number.

It is an amenable number.

75554755745561 is a deficient number, since it is larger than the sum of its proper divisors (1).

75554755745561 is an equidigital number, since it uses as much as digits as its factorization.

75554755745561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2572500000, while the sum is 71.

The spelling of 75554755745561 in words is "seventy-five trillion, five hundred fifty-four billion, seven hundred fifty-five million, seven hundred forty-five thousand, five hundred sixty-one".